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Finding the Fourth Proportional to 283,539.68, 425,392.68 and 83,865.32

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Solution

The fourth proportional to 283,539.68, 425,392.68 and 83,865.32 is: 125,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,539.68 : 425,392.68 = 83,865.32 : x
  2. Step 2: Convert to fraction form
    283,539.68/425,392.68 = 83,865.32/x
  3. Step 3: Cross multiply
    283,539.68x = 425,392.68 × 83,865.32
  4. Step 4: Simplify right side
    283,539.68x = 35,675,693,233.86
  5. Step 5: Solve for x
    x = 35,675,693,233.86/283,539.68
  6. Step 6: Final answer
    x = 125,822.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.